1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
11111nata11111 [884]
3 years ago
5

John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido

has in the backyard to the nearest square foot. (Use 3.14 to represent π)
Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

227 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the roaming area that Fido has

Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash

Mathematically, the area would be

A = π * r^2

A = 3.14 * 8.5^2

A = 226.865 ft^2

To the nearest square foot, this is 227 ft^2

You might be interested in
Draw a triangle with verticesA(0,4),B(2,-2),andC(-2,-2).
TEA [102]
Drawing is attatched :)

7 0
3 years ago
What is the midpoint of AC?
Setler [38]

Answer:

(m+p,n+r)

Step-by-step explanation:

Let (x_1,y_1)=A(2m,2n) and (x_2,y_2)=C(2p,2r).

The midpoint is calculated using the formula;

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Substitute the coordinates to get;

M=(\frac{2m+2p}{2},\frac{2n+2r}{2})

M=(\frac{2(m+p)}{2},\frac{2(n+r)}{2})

M=(m+p,n+r)

4 0
3 years ago
Read 2 more answers
Simplify the expression <br>(2x-6) - (4x+4)​
ollegr [7]

Answer:

-2x - 10

Step-by-step explanation:

(2x-6) - (4x+4)​    multiply (4x+4)​  by -1   -1(4x + 4) = -4x - 4

2x - 6 - 4x - 4  Re-arrange

2x - 4x - 6 - 4

-2x - 10

5 0
3 years ago
Help please!!!! Complete the following
sveta [45]
First, "graph" means graph of the given function f(x).  It is not necessary to include the graph with the question because at this level, either the user can "see" the graph mentally, or use technology (calculator or software) to graph the function.

(a) The Leading coefficient test for polynomial functions
The test is as follows.  The sign of the leading coefficient (LC, coefficient of the highest power of the variable) together with the degree (odd or even)  of the polynomial function tells us the end behaviour of the function according to the following table:

LC/degree     Even       Odd
Positive        +inf/+inf    -inf/+inf   
Negative       -inf/-inf     +inf/-inf

It can be easily memorized by comparing with a line or a parabola
y=x (positive leading coefficient, odd degree)  goes from -inf to +inf
y=x^2 (positive leading coefficient, even degree)  goes from +inf to +inf.
Any negative leading coefficient will just invert the signs.

For the given polynomial function
f(x) = x^2(x+2) = x^3+x^2
The leading coefficient is +1 (positive), and degree is three (odd)
So it behaves the same way as a straight line y=x, so the end behviours are
{-inf, +inf}  as x-> {-inf, +inf} respectively.

(b) x-intercepts
Since f(x)=x^2(x+2), the x-intercepts are x=0 (multiplicity 2) and x=-2.
=>
From the left, graph is increasing and crosses x=-2 once from negative to positive, after which graph is decreasing.  At x=0, because of the root with multiplicity 2, graph touches the origin (0,0) and turns back towards +inf.

(c) the y-intercept
from the polynomial f(x)=x^2(x+2)=x^3+x^2 = x^3+x^2+0,
we see that the y-intercept =0 because the "initial value" or the constant term is zero.

5 0
3 years ago
Use the equation p = 831 where p = pressure and
Hoochie [10]
Cccvvcv 1000+10000 equal to 1000
6 0
3 years ago
Other questions:
  • What is x y-7=0 in standard form
    8·1 answer
  • What is the length of BC?<br> ____ Units
    6·2 answers
  • Hilda currently has 120 dollars in her saving account and plans to save 30 dollars
    15·1 answer
  • Is 300,998 greater or less than 300899
    5·2 answers
  • Please help I need this done by 5:00​
    11·1 answer
  • 51) Simplify: 4x + 6(3x - 2)
    13·2 answers
  • What percent of 467.00 80%​
    9·2 answers
  • Pls help me I will give the first answer brainlyist and thanks NO LINKS OR NO BRAINLYIST there are two questions please help
    7·1 answer
  • What is 479 estimated by 89
    9·1 answer
  • Help please <br><br> 9 2 7 <br> X = 12 x 12
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!